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Finding the Third Proportional to 45,637.88 and 70,192.13

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Solution

The third proportional to 45,637.88 and 70,192.13 is: 107,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,637.88 : 70,192.13 = 70,192.13 : x
  2. Step 2: Convert to fraction form
    45,637.88/70,192.13 = 70,192.13/x
  3. Step 3: Cross multiply
    45,637.88x = 70,192.13 × 70,192.13
  4. Step 4: Simplify right side
    45,637.88x = 4,926,934,412.02
  5. Step 5: Solve for x
    x = 4,926,934,412.02/45,637.88
  6. Step 6: Final answer
    x = 107,957.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.