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Finding the Third Proportional to 72,715 and 152,051

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Solution

The third proportional to 72,715 and 152,051 is: 317,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,715 : 152,051 = 152,051 : x
  2. Step 2: Convert to fraction form
    72,715/152,051 = 152,051/x
  3. Step 3: Cross multiply
    72,715x = 152,051 × 152,051
  4. Step 4: Simplify right side
    72,715x = 23,119,506,601
  5. Step 5: Solve for x
    x = 23,119,506,601/72,715
  6. Step 6: Final answer
    x = 317,946.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.