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Finding the Third Proportional to 76,209 and 117,541

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Solution

The third proportional to 76,209 and 117,541 is: 181,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,209 : 117,541 = 117,541 : x
  2. Step 2: Convert to fraction form
    76,209/117,541 = 117,541/x
  3. Step 3: Cross multiply
    76,209x = 117,541 × 117,541
  4. Step 4: Simplify right side
    76,209x = 13,815,886,681
  5. Step 5: Solve for x
    x = 13,815,886,681/76,209
  6. Step 6: Final answer
    x = 181,289.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.