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Finding the Third Proportional to 51,988 and 83,724

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Solution

The third proportional to 51,988 and 83,724 is: 134,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988 : 83,724 = 83,724 : x
  2. Step 2: Convert to fraction form
    51,988/83,724 = 83,724/x
  3. Step 3: Cross multiply
    51,988x = 83,724 × 83,724
  4. Step 4: Simplify right side
    51,988x = 7,009,708,176
  5. Step 5: Solve for x
    x = 7,009,708,176/51,988
  6. Step 6: Final answer
    x = 134,833.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.