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Finding the Third Proportional to 64,590 and 94,329

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Solution

The third proportional to 64,590 and 94,329 is: 137,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,590 : 94,329 = 94,329 : x
  2. Step 2: Convert to fraction form
    64,590/94,329 = 94,329/x
  3. Step 3: Cross multiply
    64,590x = 94,329 × 94,329
  4. Step 4: Simplify right side
    64,590x = 8,897,960,241
  5. Step 5: Solve for x
    x = 8,897,960,241/64,590
  6. Step 6: Final answer
    x = 137,760.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.