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Finding the Third Proportional to 68,144.63 and 103,447.13

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Solution

The third proportional to 68,144.63 and 103,447.13 is: 157,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.63 : 103,447.13 = 103,447.13 : x
  2. Step 2: Convert to fraction form
    68,144.63/103,447.13 = 103,447.13/x
  3. Step 3: Cross multiply
    68,144.63x = 103,447.13 × 103,447.13
  4. Step 4: Simplify right side
    68,144.63x = 10,701,307,670.77
  5. Step 5: Solve for x
    x = 10,701,307,670.77/68,144.63
  6. Step 6: Final answer
    x = 157,038.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.