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Finding the Third Proportional to 67,359 and 98,077

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Solution

The third proportional to 67,359 and 98,077 is: 142,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,359 : 98,077 = 98,077 : x
  2. Step 2: Convert to fraction form
    67,359/98,077 = 98,077/x
  3. Step 3: Cross multiply
    67,359x = 98,077 × 98,077
  4. Step 4: Simplify right side
    67,359x = 9,619,097,929
  5. Step 5: Solve for x
    x = 9,619,097,929/67,359
  6. Step 6: Final answer
    x = 142,803.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.