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Finding the Third Proportional to 60,514 and 93,323

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Solution

The third proportional to 60,514 and 93,323 is: 143,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,514 : 93,323 = 93,323 : x
  2. Step 2: Convert to fraction form
    60,514/93,323 = 93,323/x
  3. Step 3: Cross multiply
    60,514x = 93,323 × 93,323
  4. Step 4: Simplify right side
    60,514x = 8,709,182,329
  5. Step 5: Solve for x
    x = 8,709,182,329/60,514
  6. Step 6: Final answer
    x = 143,920.12

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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.