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Finding the Third Proportional to 124,852.50 and 176,664.38

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Solution

The third proportional to 124,852.50 and 176,664.38 is: 249,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,852.50 : 176,664.38 = 176,664.38 : x
  2. Step 2: Convert to fraction form
    124,852.50/176,664.38 = 176,664.38/x
  3. Step 3: Cross multiply
    124,852.50x = 176,664.38 × 176,664.38
  4. Step 4: Simplify right side
    124,852.50x = 31,210,301,394.14
  5. Step 5: Solve for x
    x = 31,210,301,394.14/124,852.50
  6. Step 6: Final answer
    x = 249,977.38

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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.