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Finding the Third Proportional to 121,176.50 and 185,045.25

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Solution

The third proportional to 121,176.50 and 185,045.25 is: 282,577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176.50 : 185,045.25 = 185,045.25 : x
  2. Step 2: Convert to fraction form
    121,176.50/185,045.25 = 185,045.25/x
  3. Step 3: Cross multiply
    121,176.50x = 185,045.25 × 185,045.25
  4. Step 4: Simplify right side
    121,176.50x = 34,241,744,547.56
  5. Step 5: Solve for x
    x = 34,241,744,547.56/121,176.50
  6. Step 6: Final answer
    x = 282,577.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.