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Finding the Third Proportional to 121,177.50 and 185,047

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Solution

The third proportional to 121,177.50 and 185,047 is: 282,580.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,177.50 : 185,047 = 185,047 : x
  2. Step 2: Convert to fraction form
    121,177.50/185,047 = 185,047/x
  3. Step 3: Cross multiply
    121,177.50x = 185,047 × 185,047
  4. Step 4: Simplify right side
    121,177.50x = 34,242,392,209
  5. Step 5: Solve for x
    x = 34,242,392,209/121,177.50
  6. Step 6: Final answer
    x = 282,580.45

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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.