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Finding the Third Proportional to 91,371.19 and 137,056.88

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Solution

The third proportional to 91,371.19 and 137,056.88 is: 205,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,371.19 : 137,056.88 = 137,056.88 : x
  2. Step 2: Convert to fraction form
    91,371.19/137,056.88 = 137,056.88/x
  3. Step 3: Cross multiply
    91,371.19x = 137,056.88 × 137,056.88
  4. Step 4: Simplify right side
    91,371.19x = 18,784,586,984.77
  5. Step 5: Solve for x
    x = 18,784,586,984.77/91,371.19
  6. Step 6: Final answer
    x = 205,585.45

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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.