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Finding the Third Proportional to 63,319 and 148,979

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Solution

The third proportional to 63,319 and 148,979 is: 350,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,319 : 148,979 = 148,979 : x
  2. Step 2: Convert to fraction form
    63,319/148,979 = 148,979/x
  3. Step 3: Cross multiply
    63,319x = 148,979 × 148,979
  4. Step 4: Simplify right side
    63,319x = 22,194,742,441
  5. Step 5: Solve for x
    x = 22,194,742,441/63,319
  6. Step 6: Final answer
    x = 350,522.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.