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Finding the Third Proportional to 61,294 and 96,313

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Solution

The third proportional to 61,294 and 96,313 is: 151,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294 : 96,313 = 96,313 : x
  2. Step 2: Convert to fraction form
    61,294/96,313 = 96,313/x
  3. Step 3: Cross multiply
    61,294x = 96,313 × 96,313
  4. Step 4: Simplify right side
    61,294x = 9,276,193,969
  5. Step 5: Solve for x
    x = 9,276,193,969/61,294
  6. Step 6: Final answer
    x = 151,339.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.