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Finding the Third Proportional to 97,107 and 152,586

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Solution

The third proportional to 97,107 and 152,586 is: 239,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,107 : 152,586 = 152,586 : x
  2. Step 2: Convert to fraction form
    97,107/152,586 = 152,586/x
  3. Step 3: Cross multiply
    97,107x = 152,586 × 152,586
  4. Step 4: Simplify right side
    97,107x = 23,282,487,396
  5. Step 5: Solve for x
    x = 23,282,487,396/97,107
  6. Step 6: Final answer
    x = 239,761.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.