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Finding the Third Proportional to 124,221 and 193,711.50

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Solution

The third proportional to 124,221 and 193,711.50 is: 302,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,221 : 193,711.50 = 193,711.50 : x
  2. Step 2: Convert to fraction form
    124,221/193,711.50 = 193,711.50/x
  3. Step 3: Cross multiply
    124,221x = 193,711.50 × 193,711.50
  4. Step 4: Simplify right side
    124,221x = 37,524,145,232.25
  5. Step 5: Solve for x
    x = 37,524,145,232.25/124,221
  6. Step 6: Final answer
    x = 302,075.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.