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Finding the Third Proportional to 92,101 and 137,584

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Solution

The third proportional to 92,101 and 137,584 is: 205,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101 : 137,584 = 137,584 : x
  2. Step 2: Convert to fraction form
    92,101/137,584 = 137,584/x
  3. Step 3: Cross multiply
    92,101x = 137,584 × 137,584
  4. Step 4: Simplify right side
    92,101x = 18,929,357,056
  5. Step 5: Solve for x
    x = 18,929,357,056/92,101
  6. Step 6: Final answer
    x = 205,528.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.