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Finding the Third Proportional to 76,434 and 116,289

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Solution

The third proportional to 76,434 and 116,289 is: 176,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434 : 116,289 = 116,289 : x
  2. Step 2: Convert to fraction form
    76,434/116,289 = 116,289/x
  3. Step 3: Cross multiply
    76,434x = 116,289 × 116,289
  4. Step 4: Simplify right side
    76,434x = 13,523,131,521
  5. Step 5: Solve for x
    x = 13,523,131,521/76,434
  6. Step 6: Final answer
    x = 176,925.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.