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Finding the Third Proportional to 61,031 and 92,407

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Solution

The third proportional to 61,031 and 92,407 is: 139,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031 : 92,407 = 92,407 : x
  2. Step 2: Convert to fraction form
    61,031/92,407 = 92,407/x
  3. Step 3: Cross multiply
    61,031x = 92,407 × 92,407
  4. Step 4: Simplify right side
    61,031x = 8,539,053,649
  5. Step 5: Solve for x
    x = 8,539,053,649/61,031
  6. Step 6: Final answer
    x = 139,913.38

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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.