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Finding the Third Proportional to 64,058 and 96,292

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Solution

The third proportional to 64,058 and 96,292 is: 144,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,058 : 96,292 = 96,292 : x
  2. Step 2: Convert to fraction form
    64,058/96,292 = 96,292/x
  3. Step 3: Cross multiply
    64,058x = 96,292 × 96,292
  4. Step 4: Simplify right side
    64,058x = 9,272,149,264
  5. Step 5: Solve for x
    x = 9,272,149,264/64,058
  6. Step 6: Final answer
    x = 144,746.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.