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Finding the Third Proportional to 101,581 and 157,506

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Solution

The third proportional to 101,581 and 157,506 is: 244,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,581 : 157,506 = 157,506 : x
  2. Step 2: Convert to fraction form
    101,581/157,506 = 157,506/x
  3. Step 3: Cross multiply
    101,581x = 157,506 × 157,506
  4. Step 4: Simplify right side
    101,581x = 24,808,140,036
  5. Step 5: Solve for x
    x = 24,808,140,036/101,581
  6. Step 6: Final answer
    x = 244,220.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.