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Finding the Third Proportional to 82,925.63 and 124,258.13

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Solution

The third proportional to 82,925.63 and 124,258.13 is: 186,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,925.63 : 124,258.13 = 124,258.13 : x
  2. Step 2: Convert to fraction form
    82,925.63/124,258.13 = 124,258.13/x
  3. Step 3: Cross multiply
    82,925.63x = 124,258.13 × 124,258.13
  4. Step 4: Simplify right side
    82,925.63x = 15,440,081,628.52
  5. Step 5: Solve for x
    x = 15,440,081,628.52/82,925.63
  6. Step 6: Final answer
    x = 186,191.92

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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.