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Finding the Third Proportional to 91,516 and 134,304

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Solution

The third proportional to 91,516 and 134,304 is: 197,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,516 : 134,304 = 134,304 : x
  2. Step 2: Convert to fraction form
    91,516/134,304 = 134,304/x
  3. Step 3: Cross multiply
    91,516x = 134,304 × 134,304
  4. Step 4: Simplify right side
    91,516x = 18,037,564,416
  5. Step 5: Solve for x
    x = 18,037,564,416/91,516
  6. Step 6: Final answer
    x = 197,097.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.