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Finding the Third Proportional to 64,374 and 130,497.75

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Solution

The third proportional to 64,374 and 130,497.75 is: 264,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,374 : 130,497.75 = 130,497.75 : x
  2. Step 2: Convert to fraction form
    64,374/130,497.75 = 130,497.75/x
  3. Step 3: Cross multiply
    64,374x = 130,497.75 × 130,497.75
  4. Step 4: Simplify right side
    64,374x = 17,029,662,755.06
  5. Step 5: Solve for x
    x = 17,029,662,755.06/64,374
  6. Step 6: Final answer
    x = 264,542.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.