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Finding the Third Proportional to 124,480 and 186,810.50

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Solution

The third proportional to 124,480 and 186,810.50 is: 280,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,480 : 186,810.50 = 186,810.50 : x
  2. Step 2: Convert to fraction form
    124,480/186,810.50 = 186,810.50/x
  3. Step 3: Cross multiply
    124,480x = 186,810.50 × 186,810.50
  4. Step 4: Simplify right side
    124,480x = 34,898,162,910.25
  5. Step 5: Solve for x
    x = 34,898,162,910.25/124,480
  6. Step 6: Final answer
    x = 280,351.57

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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.