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Finding the Third Proportional to 59,013 and 93,587.63

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Solution

The third proportional to 59,013 and 93,587.63 is: 148,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,013 : 93,587.63 = 93,587.63 : x
  2. Step 2: Convert to fraction form
    59,013/93,587.63 = 93,587.63/x
  3. Step 3: Cross multiply
    59,013x = 93,587.63 × 93,587.63
  4. Step 4: Simplify right side
    59,013x = 8,758,643,553.14
  5. Step 5: Solve for x
    x = 8,758,643,553.14/59,013
  6. Step 6: Final answer
    x = 148,418.88

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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.