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Finding the Third Proportional to 64,389 and 94,659

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Solution

The third proportional to 64,389 and 94,659 is: 139,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389 : 94,659 = 94,659 : x
  2. Step 2: Convert to fraction form
    64,389/94,659 = 94,659/x
  3. Step 3: Cross multiply
    64,389x = 94,659 × 94,659
  4. Step 4: Simplify right side
    64,389x = 8,960,326,281
  5. Step 5: Solve for x
    x = 8,960,326,281/64,389
  6. Step 6: Final answer
    x = 139,159.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.