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Finding the Third Proportional to 94,024 and 145,658

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Solution

The third proportional to 94,024 and 145,658 is: 225,647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,024 : 145,658 = 145,658 : x
  2. Step 2: Convert to fraction form
    94,024/145,658 = 145,658/x
  3. Step 3: Cross multiply
    94,024x = 145,658 × 145,658
  4. Step 4: Simplify right side
    94,024x = 21,216,252,964
  5. Step 5: Solve for x
    x = 21,216,252,964/94,024
  6. Step 6: Final answer
    x = 225,647.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.