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Finding the Third Proportional to 64,642.50 and 137,111.63

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Solution

The third proportional to 64,642.50 and 137,111.63 is: 290,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642.50 : 137,111.63 = 137,111.63 : x
  2. Step 2: Convert to fraction form
    64,642.50/137,111.63 = 137,111.63/x
  3. Step 3: Cross multiply
    64,642.50x = 137,111.63 × 137,111.63
  4. Step 4: Simplify right side
    64,642.50x = 18,799,597,710.14
  5. Step 5: Solve for x
    x = 18,799,597,710.14/64,642.50
  6. Step 6: Final answer
    x = 290,824.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.