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Finding the Third Proportional to 99,164 and 151,070

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Solution

The third proportional to 99,164 and 151,070 is: 230,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164 : 151,070 = 151,070 : x
  2. Step 2: Convert to fraction form
    99,164/151,070 = 151,070/x
  3. Step 3: Cross multiply
    99,164x = 151,070 × 151,070
  4. Step 4: Simplify right side
    99,164x = 22,822,144,900
  5. Step 5: Solve for x
    x = 22,822,144,900/99,164
  6. Step 6: Final answer
    x = 230,145.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.