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Finding the Third Proportional to 132,969 and 199,547

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Solution

The third proportional to 132,969 and 199,547 is: 299,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,969 : 199,547 = 199,547 : x
  2. Step 2: Convert to fraction form
    132,969/199,547 = 199,547/x
  3. Step 3: Cross multiply
    132,969x = 199,547 × 199,547
  4. Step 4: Simplify right side
    132,969x = 39,819,005,209
  5. Step 5: Solve for x
    x = 39,819,005,209/132,969
  6. Step 6: Final answer
    x = 299,460.82

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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.