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Finding the Third Proportional to 94,637 and 145,463

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Solution

The third proportional to 94,637 and 145,463 is: 223,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,637 : 145,463 = 145,463 : x
  2. Step 2: Convert to fraction form
    94,637/145,463 = 145,463/x
  3. Step 3: Cross multiply
    94,637x = 145,463 × 145,463
  4. Step 4: Simplify right side
    94,637x = 21,159,484,369
  5. Step 5: Solve for x
    x = 21,159,484,369/94,637
  6. Step 6: Final answer
    x = 223,585.75

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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.