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Finding the Third Proportional to 74,697.19 and 112,329.28

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Solution

The third proportional to 74,697.19 and 112,329.28 is: 168,920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,697.19 : 112,329.28 = 112,329.28 : x
  2. Step 2: Convert to fraction form
    74,697.19/112,329.28 = 112,329.28/x
  3. Step 3: Cross multiply
    74,697.19x = 112,329.28 × 112,329.28
  4. Step 4: Simplify right side
    74,697.19x = 12,617,867,426.14
  5. Step 5: Solve for x
    x = 12,617,867,426.14/74,697.19
  6. Step 6: Final answer
    x = 168,920.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.