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Finding the Third Proportional to 124,840.50 and 176,646

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Solution

The third proportional to 124,840.50 and 176,646 is: 249,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,840.50 : 176,646 = 176,646 : x
  2. Step 2: Convert to fraction form
    124,840.50/176,646 = 176,646/x
  3. Step 3: Cross multiply
    124,840.50x = 176,646 × 176,646
  4. Step 4: Simplify right side
    124,840.50x = 31,203,809,316
  5. Step 5: Solve for x
    x = 31,203,809,316/124,840.50
  6. Step 6: Final answer
    x = 249,949.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.