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Finding the Third Proportional to 74,070.56 and 105,607.69

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Solution

The third proportional to 74,070.56 and 105,607.69 is: 150,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,070.56 : 105,607.69 = 105,607.69 : x
  2. Step 2: Convert to fraction form
    74,070.56/105,607.69 = 105,607.69/x
  3. Step 3: Cross multiply
    74,070.56x = 105,607.69 × 105,607.69
  4. Step 4: Simplify right side
    74,070.56x = 11,152,983,659.10
  5. Step 5: Solve for x
    x = 11,152,983,659.10/74,070.56
  6. Step 6: Final answer
    x = 150,572.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.