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Finding the Third Proportional to 63,185.06 and 138,239.16

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Solution

The third proportional to 63,185.06 and 138,239.16 is: 302,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,185.06 : 138,239.16 = 138,239.16 : x
  2. Step 2: Convert to fraction form
    63,185.06/138,239.16 = 138,239.16/x
  3. Step 3: Cross multiply
    63,185.06x = 138,239.16 × 138,239.16
  4. Step 4: Simplify right side
    63,185.06x = 19,110,064,320.71
  5. Step 5: Solve for x
    x = 19,110,064,320.71/63,185.06
  6. Step 6: Final answer
    x = 302,445.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.