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Finding the Third Proportional to 74,582 and 145,378

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Solution

The third proportional to 74,582 and 145,378 is: 283,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,582 : 145,378 = 145,378 : x
  2. Step 2: Convert to fraction form
    74,582/145,378 = 145,378/x
  3. Step 3: Cross multiply
    74,582x = 145,378 × 145,378
  4. Step 4: Simplify right side
    74,582x = 21,134,762,884
  5. Step 5: Solve for x
    x = 21,134,762,884/74,582
  6. Step 6: Final answer
    x = 283,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.