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Finding the Third Proportional to 58,376 and 92,451

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Solution

The third proportional to 58,376 and 92,451 is: 146,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,376 : 92,451 = 92,451 : x
  2. Step 2: Convert to fraction form
    58,376/92,451 = 92,451/x
  3. Step 3: Cross multiply
    58,376x = 92,451 × 92,451
  4. Step 4: Simplify right side
    58,376x = 8,547,187,401
  5. Step 5: Solve for x
    x = 8,547,187,401/58,376
  6. Step 6: Final answer
    x = 146,416.12

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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.