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Finding the Third Proportional to 64,951.88 and 101,530.13

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Solution

The third proportional to 64,951.88 and 101,530.13 is: 158,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,951.88 : 101,530.13 = 101,530.13 : x
  2. Step 2: Convert to fraction form
    64,951.88/101,530.13 = 101,530.13/x
  3. Step 3: Cross multiply
    64,951.88x = 101,530.13 × 101,530.13
  4. Step 4: Simplify right side
    64,951.88x = 10,308,366,282.52
  5. Step 5: Solve for x
    x = 10,308,366,282.52/64,951.88
  6. Step 6: Final answer
    x = 158,707.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.