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Finding the Third Proportional to 61,308 and 92,169

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Solution

The third proportional to 61,308 and 92,169 is: 138,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,308 : 92,169 = 92,169 : x
  2. Step 2: Convert to fraction form
    61,308/92,169 = 92,169/x
  3. Step 3: Cross multiply
    61,308x = 92,169 × 92,169
  4. Step 4: Simplify right side
    61,308x = 8,495,124,561
  5. Step 5: Solve for x
    x = 8,495,124,561/61,308
  6. Step 6: Final answer
    x = 138,564.70

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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.