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Finding the Third Proportional to 124,534.50 and 196,887

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Solution

The third proportional to 124,534.50 and 196,887 is: 311,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534.50 : 196,887 = 196,887 : x
  2. Step 2: Convert to fraction form
    124,534.50/196,887 = 196,887/x
  3. Step 3: Cross multiply
    124,534.50x = 196,887 × 196,887
  4. Step 4: Simplify right side
    124,534.50x = 38,764,490,769
  5. Step 5: Solve for x
    x = 38,764,490,769/124,534.50
  6. Step 6: Final answer
    x = 311,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.