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Finding the Third Proportional to 67,464 and 147,076

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Solution

The third proportional to 67,464 and 147,076 is: 320,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,464 : 147,076 = 147,076 : x
  2. Step 2: Convert to fraction form
    67,464/147,076 = 147,076/x
  3. Step 3: Cross multiply
    67,464x = 147,076 × 147,076
  4. Step 4: Simplify right side
    67,464x = 21,631,349,776
  5. Step 5: Solve for x
    x = 21,631,349,776/67,464
  6. Step 6: Final answer
    x = 320,635.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.