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Finding the Third Proportional to 70,530.75 and 95,681.25

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Solution

The third proportional to 70,530.75 and 95,681.25 is: 129,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.75 : 95,681.25 = 95,681.25 : x
  2. Step 2: Convert to fraction form
    70,530.75/95,681.25 = 95,681.25/x
  3. Step 3: Cross multiply
    70,530.75x = 95,681.25 × 95,681.25
  4. Step 4: Simplify right side
    70,530.75x = 9,154,901,601.56
  5. Step 5: Solve for x
    x = 9,154,901,601.56/70,530.75
  6. Step 6: Final answer
    x = 129,800.15

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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.