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Finding the Third Proportional to 63,140 and 147,527

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Solution

The third proportional to 63,140 and 147,527 is: 344,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,140 : 147,527 = 147,527 : x
  2. Step 2: Convert to fraction form
    63,140/147,527 = 147,527/x
  3. Step 3: Cross multiply
    63,140x = 147,527 × 147,527
  4. Step 4: Simplify right side
    63,140x = 21,764,215,729
  5. Step 5: Solve for x
    x = 21,764,215,729/63,140
  6. Step 6: Final answer
    x = 344,697.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.