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Finding the Third Proportional to 64,746 and 141,260

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Solution

The third proportional to 64,746 and 141,260 is: 308,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,746 : 141,260 = 141,260 : x
  2. Step 2: Convert to fraction form
    64,746/141,260 = 141,260/x
  3. Step 3: Cross multiply
    64,746x = 141,260 × 141,260
  4. Step 4: Simplify right side
    64,746x = 19,954,387,600
  5. Step 5: Solve for x
    x = 19,954,387,600/64,746
  6. Step 6: Final answer
    x = 308,194.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.