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Finding the Third Proportional to 59,046 and 93,897

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Solution

The third proportional to 59,046 and 93,897 is: 149,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,046 : 93,897 = 93,897 : x
  2. Step 2: Convert to fraction form
    59,046/93,897 = 93,897/x
  3. Step 3: Cross multiply
    59,046x = 93,897 × 93,897
  4. Step 4: Simplify right side
    59,046x = 8,816,646,609
  5. Step 5: Solve for x
    x = 8,816,646,609/59,046
  6. Step 6: Final answer
    x = 149,318.27

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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.