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Finding the Third Proportional to 64,664 and 141,352

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Solution

The third proportional to 64,664 and 141,352 is: 308,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,664 : 141,352 = 141,352 : x
  2. Step 2: Convert to fraction form
    64,664/141,352 = 141,352/x
  3. Step 3: Cross multiply
    64,664x = 141,352 × 141,352
  4. Step 4: Simplify right side
    64,664x = 19,980,387,904
  5. Step 5: Solve for x
    x = 19,980,387,904/64,664
  6. Step 6: Final answer
    x = 308,987.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.