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Finding the Third Proportional to 124,970.77 and 178,582.22

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Solution

The third proportional to 124,970.77 and 178,582.22 is: 255,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,970.77 : 178,582.22 = 178,582.22 : x
  2. Step 2: Convert to fraction form
    124,970.77/178,582.22 = 178,582.22/x
  3. Step 3: Cross multiply
    124,970.77x = 178,582.22 × 178,582.22
  4. Step 4: Simplify right side
    124,970.77x = 31,891,608,853.67
  5. Step 5: Solve for x
    x = 31,891,608,853.67/124,970.77
  6. Step 6: Final answer
    x = 255,192.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.