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Finding the Third Proportional to 58,725 and 83,713.50

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Solution

The third proportional to 58,725 and 83,713.50 is: 119,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,725 : 83,713.50 = 83,713.50 : x
  2. Step 2: Convert to fraction form
    58,725/83,713.50 = 83,713.50/x
  3. Step 3: Cross multiply
    58,725x = 83,713.50 × 83,713.50
  4. Step 4: Simplify right side
    58,725x = 7,007,950,082.25
  5. Step 5: Solve for x
    x = 7,007,950,082.25/58,725
  6. Step 6: Final answer
    x = 119,335.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.