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Finding the Third Proportional to 55,610 and 83,488

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Solution

The third proportional to 55,610 and 83,488 is: 125,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,610 : 83,488 = 83,488 : x
  2. Step 2: Convert to fraction form
    55,610/83,488 = 83,488/x
  3. Step 3: Cross multiply
    55,610x = 83,488 × 83,488
  4. Step 4: Simplify right side
    55,610x = 6,970,246,144
  5. Step 5: Solve for x
    x = 6,970,246,144/55,610
  6. Step 6: Final answer
    x = 125,341.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.