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Finding the Third Proportional to 97,107 and 152,588

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Solution

The third proportional to 97,107 and 152,588 is: 239,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,107 : 152,588 = 152,588 : x
  2. Step 2: Convert to fraction form
    97,107/152,588 = 152,588/x
  3. Step 3: Cross multiply
    97,107x = 152,588 × 152,588
  4. Step 4: Simplify right side
    97,107x = 23,283,097,744
  5. Step 5: Solve for x
    x = 23,283,097,744/97,107
  6. Step 6: Final answer
    x = 239,767.45

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