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Finding the Third Proportional to 69,711 and 148,411.50

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Solution

The third proportional to 69,711 and 148,411.50 is: 315,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,711 : 148,411.50 = 148,411.50 : x
  2. Step 2: Convert to fraction form
    69,711/148,411.50 = 148,411.50/x
  3. Step 3: Cross multiply
    69,711x = 148,411.50 × 148,411.50
  4. Step 4: Simplify right side
    69,711x = 22,025,973,332.25
  5. Step 5: Solve for x
    x = 22,025,973,332.25/69,711
  6. Step 6: Final answer
    x = 315,961.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.