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Finding the Third Proportional to 75,437.16 and 157,073.34

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Solution

The third proportional to 75,437.16 and 157,073.34 is: 327,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,437.16 : 157,073.34 = 157,073.34 : x
  2. Step 2: Convert to fraction form
    75,437.16/157,073.34 = 157,073.34/x
  3. Step 3: Cross multiply
    75,437.16x = 157,073.34 × 157,073.34
  4. Step 4: Simplify right side
    75,437.16x = 24,672,035,316.81
  5. Step 5: Solve for x
    x = 24,672,035,316.81/75,437.16
  6. Step 6: Final answer
    x = 327,054.15

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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.