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Finding the Third Proportional to 58,382 and 92,460

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Solution

The third proportional to 58,382 and 92,460 is: 146,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,382 : 92,460 = 92,460 : x
  2. Step 2: Convert to fraction form
    58,382/92,460 = 92,460/x
  3. Step 3: Cross multiply
    58,382x = 92,460 × 92,460
  4. Step 4: Simplify right side
    58,382x = 8,548,851,600
  5. Step 5: Solve for x
    x = 8,548,851,600/58,382
  6. Step 6: Final answer
    x = 146,429.58

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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.