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Finding the Third Proportional to 59,011.13 and 93,584.81

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Solution

The third proportional to 59,011.13 and 93,584.81 is: 148,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,011.13 : 93,584.81 = 93,584.81 : x
  2. Step 2: Convert to fraction form
    59,011.13/93,584.81 = 93,584.81/x
  3. Step 3: Cross multiply
    59,011.13x = 93,584.81 × 93,584.81
  4. Step 4: Simplify right side
    59,011.13x = 8,758,117,130.66
  5. Step 5: Solve for x
    x = 8,758,117,130.66/59,011.13
  6. Step 6: Final answer
    x = 148,414.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.