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Finding the Third Proportional to 58,384 and 92,464

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Solution

The third proportional to 58,384 and 92,464 is: 146,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,384 : 92,464 = 92,464 : x
  2. Step 2: Convert to fraction form
    58,384/92,464 = 92,464/x
  3. Step 3: Cross multiply
    58,384x = 92,464 × 92,464
  4. Step 4: Simplify right side
    58,384x = 8,549,591,296
  5. Step 5: Solve for x
    x = 8,549,591,296/58,384
  6. Step 6: Final answer
    x = 146,437.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.