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Finding the Third Proportional to 63,534 and 138,134.63

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Solution

The third proportional to 63,534 and 138,134.63 is: 300,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,534 : 138,134.63 = 138,134.63 : x
  2. Step 2: Convert to fraction form
    63,534/138,134.63 = 138,134.63/x
  3. Step 3: Cross multiply
    63,534x = 138,134.63 × 138,134.63
  4. Step 4: Simplify right side
    63,534x = 19,081,174,623.89
  5. Step 5: Solve for x
    x = 19,081,174,623.89/63,534
  6. Step 6: Final answer
    x = 300,330.13

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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.