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Finding the Third Proportional to 97,115 and 152,598

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Solution

The third proportional to 97,115 and 152,598 is: 239,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115 : 152,598 = 152,598 : x
  2. Step 2: Convert to fraction form
    97,115/152,598 = 152,598/x
  3. Step 3: Cross multiply
    97,115x = 152,598 × 152,598
  4. Step 4: Simplify right side
    97,115x = 23,286,149,604
  5. Step 5: Solve for x
    x = 23,286,149,604/97,115
  6. Step 6: Final answer
    x = 239,779.12

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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.