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Finding the Third Proportional to 82,925.02 and 124,257.16

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Solution

The third proportional to 82,925.02 and 124,257.16 is: 186,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,925.02 : 124,257.16 = 124,257.16 : x
  2. Step 2: Convert to fraction form
    82,925.02/124,257.16 = 124,257.16/x
  3. Step 3: Cross multiply
    82,925.02x = 124,257.16 × 124,257.16
  4. Step 4: Simplify right side
    82,925.02x = 15,439,842,820.86
  5. Step 5: Solve for x
    x = 15,439,842,820.86/82,925.02
  6. Step 6: Final answer
    x = 186,190.41

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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.