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Finding the Third Proportional to 83,038.50 and 168,534

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Solution

The third proportional to 83,038.50 and 168,534 is: 342,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.50 : 168,534 = 168,534 : x
  2. Step 2: Convert to fraction form
    83,038.50/168,534 = 168,534/x
  3. Step 3: Cross multiply
    83,038.50x = 168,534 × 168,534
  4. Step 4: Simplify right side
    83,038.50x = 28,403,709,156
  5. Step 5: Solve for x
    x = 28,403,709,156/83,038.50
  6. Step 6: Final answer
    x = 342,054.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.