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Finding the Third Proportional to 124,772.25 and 191,977.50

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Solution

The third proportional to 124,772.25 and 191,977.50 is: 295,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,772.25 : 191,977.50 = 191,977.50 : x
  2. Step 2: Convert to fraction form
    124,772.25/191,977.50 = 191,977.50/x
  3. Step 3: Cross multiply
    124,772.25x = 191,977.50 × 191,977.50
  4. Step 4: Simplify right side
    124,772.25x = 36,855,360,506.25
  5. Step 5: Solve for x
    x = 36,855,360,506.25/124,772.25
  6. Step 6: Final answer
    x = 295,381.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.