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Finding the Third Proportional to 61,476 and 92,778

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Solution

The third proportional to 61,476 and 92,778 is: 140,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,476 : 92,778 = 92,778 : x
  2. Step 2: Convert to fraction form
    61,476/92,778 = 92,778/x
  3. Step 3: Cross multiply
    61,476x = 92,778 × 92,778
  4. Step 4: Simplify right side
    61,476x = 8,607,757,284
  5. Step 5: Solve for x
    x = 8,607,757,284/61,476
  6. Step 6: Final answer
    x = 140,018.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.