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Finding the Third Proportional to 102,748 and 150,566

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Solution

The third proportional to 102,748 and 150,566 is: 220,638.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,748 : 150,566 = 150,566 : x
  2. Step 2: Convert to fraction form
    102,748/150,566 = 150,566/x
  3. Step 3: Cross multiply
    102,748x = 150,566 × 150,566
  4. Step 4: Simplify right side
    102,748x = 22,670,120,356
  5. Step 5: Solve for x
    x = 22,670,120,356/102,748
  6. Step 6: Final answer
    x = 220,638.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.