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Finding the Third Proportional to 61,416 and 92,106

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Solution

The third proportional to 61,416 and 92,106 is: 138,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 92,106 = 92,106 : x
  2. Step 2: Convert to fraction form
    61,416/92,106 = 92,106/x
  3. Step 3: Cross multiply
    61,416x = 92,106 × 92,106
  4. Step 4: Simplify right side
    61,416x = 8,483,515,236
  5. Step 5: Solve for x
    x = 8,483,515,236/61,416
  6. Step 6: Final answer
    x = 138,132.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.