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Finding the Third Proportional to 58,266 and 92,949

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Solution

The third proportional to 58,266 and 92,949 is: 148,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,266 : 92,949 = 92,949 : x
  2. Step 2: Convert to fraction form
    58,266/92,949 = 92,949/x
  3. Step 3: Cross multiply
    58,266x = 92,949 × 92,949
  4. Step 4: Simplify right side
    58,266x = 8,639,516,601
  5. Step 5: Solve for x
    x = 8,639,516,601/58,266
  6. Step 6: Final answer
    x = 148,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.