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Finding the Third Proportional to 70,550 and 95,709

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Solution

The third proportional to 70,550 and 95,709 is: 129,840.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,550 : 95,709 = 95,709 : x
  2. Step 2: Convert to fraction form
    70,550/95,709 = 95,709/x
  3. Step 3: Cross multiply
    70,550x = 95,709 × 95,709
  4. Step 4: Simplify right side
    70,550x = 9,160,212,681
  5. Step 5: Solve for x
    x = 9,160,212,681/70,550
  6. Step 6: Final answer
    x = 129,840.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.