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Finding the Third Proportional to 56,710.69 and 83,772.56

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Solution

The third proportional to 56,710.69 and 83,772.56 is: 123,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,710.69 : 83,772.56 = 83,772.56 : x
  2. Step 2: Convert to fraction form
    56,710.69/83,772.56 = 83,772.56/x
  3. Step 3: Cross multiply
    56,710.69x = 83,772.56 × 83,772.56
  4. Step 4: Simplify right side
    56,710.69x = 7,017,842,227.82
  5. Step 5: Solve for x
    x = 7,017,842,227.82/56,710.69
  6. Step 6: Final answer
    x = 123,748.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.