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Finding the Third Proportional to 83,798 and 130,342

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Solution

The third proportional to 83,798 and 130,342 is: 202,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,798 : 130,342 = 130,342 : x
  2. Step 2: Convert to fraction form
    83,798/130,342 = 130,342/x
  3. Step 3: Cross multiply
    83,798x = 130,342 × 130,342
  4. Step 4: Simplify right side
    83,798x = 16,989,036,964
  5. Step 5: Solve for x
    x = 16,989,036,964/83,798
  6. Step 6: Final answer
    x = 202,737.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.