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Finding the Third Proportional to 75,535 and 111,214

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Solution

The third proportional to 75,535 and 111,214 is: 163,746.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,535 : 111,214 = 111,214 : x
  2. Step 2: Convert to fraction form
    75,535/111,214 = 111,214/x
  3. Step 3: Cross multiply
    75,535x = 111,214 × 111,214
  4. Step 4: Simplify right side
    75,535x = 12,368,553,796
  5. Step 5: Solve for x
    x = 12,368,553,796/75,535
  6. Step 6: Final answer
    x = 163,746.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.