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Finding the Third Proportional to 82,971 and 124,541

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Solution

The third proportional to 82,971 and 124,541 is: 186,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971 : 124,541 = 124,541 : x
  2. Step 2: Convert to fraction form
    82,971/124,541 = 124,541/x
  3. Step 3: Cross multiply
    82,971x = 124,541 × 124,541
  4. Step 4: Simplify right side
    82,971x = 15,510,460,681
  5. Step 5: Solve for x
    x = 15,510,460,681/82,971
  6. Step 6: Final answer
    x = 186,938.34

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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.