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Finding the Third Proportional to 75,435 and 157,070.63

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Solution

The third proportional to 75,435 and 157,070.63 is: 327,052.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435 : 157,070.63 = 157,070.63 : x
  2. Step 2: Convert to fraction form
    75,435/157,070.63 = 157,070.63/x
  3. Step 3: Cross multiply
    75,435x = 157,070.63 × 157,070.63
  4. Step 4: Simplify right side
    75,435x = 24,671,181,237.89
  5. Step 5: Solve for x
    x = 24,671,181,237.89/75,435
  6. Step 6: Final answer
    x = 327,052.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.