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Finding the Third Proportional to 68,570 and 103,586

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Solution

The third proportional to 68,570 and 103,586 is: 156,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,570 : 103,586 = 103,586 : x
  2. Step 2: Convert to fraction form
    68,570/103,586 = 103,586/x
  3. Step 3: Cross multiply
    68,570x = 103,586 × 103,586
  4. Step 4: Simplify right side
    68,570x = 10,730,059,396
  5. Step 5: Solve for x
    x = 10,730,059,396/68,570
  6. Step 6: Final answer
    x = 156,483.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.