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Finding the Third Proportional to 96,772 and 152,070

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Solution

The third proportional to 96,772 and 152,070 is: 238,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,772 : 152,070 = 152,070 : x
  2. Step 2: Convert to fraction form
    96,772/152,070 = 152,070/x
  3. Step 3: Cross multiply
    96,772x = 152,070 × 152,070
  4. Step 4: Simplify right side
    96,772x = 23,125,284,900
  5. Step 5: Solve for x
    x = 23,125,284,900/96,772
  6. Step 6: Final answer
    x = 238,966.69

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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.