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Finding the Third Proportional to 84,342 and 130,545

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Solution

The third proportional to 84,342 and 130,545 is: 202,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,342 : 130,545 = 130,545 : x
  2. Step 2: Convert to fraction form
    84,342/130,545 = 130,545/x
  3. Step 3: Cross multiply
    84,342x = 130,545 × 130,545
  4. Step 4: Simplify right side
    84,342x = 17,041,997,025
  5. Step 5: Solve for x
    x = 17,041,997,025/84,342
  6. Step 6: Final answer
    x = 202,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.