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Finding the Third Proportional to 63,900 and 138,946.50

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Solution

The third proportional to 63,900 and 138,946.50 is: 302,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,900 : 138,946.50 = 138,946.50 : x
  2. Step 2: Convert to fraction form
    63,900/138,946.50 = 138,946.50/x
  3. Step 3: Cross multiply
    63,900x = 138,946.50 × 138,946.50
  4. Step 4: Simplify right side
    63,900x = 19,306,129,862.25
  5. Step 5: Solve for x
    x = 19,306,129,862.25/63,900
  6. Step 6: Final answer
    x = 302,130.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.