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Finding the Third Proportional to 91,526 and 134,319

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Solution

The third proportional to 91,526 and 134,319 is: 197,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,526 : 134,319 = 134,319 : x
  2. Step 2: Convert to fraction form
    91,526/134,319 = 134,319/x
  3. Step 3: Cross multiply
    91,526x = 134,319 × 134,319
  4. Step 4: Simplify right side
    91,526x = 18,041,593,761
  5. Step 5: Solve for x
    x = 18,041,593,761/91,526
  6. Step 6: Final answer
    x = 197,119.88

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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.