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Finding the Third Proportional to 64,261 and 136,298

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Solution

The third proportional to 64,261 and 136,298 is: 289,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,261 : 136,298 = 136,298 : x
  2. Step 2: Convert to fraction form
    64,261/136,298 = 136,298/x
  3. Step 3: Cross multiply
    64,261x = 136,298 × 136,298
  4. Step 4: Simplify right side
    64,261x = 18,577,144,804
  5. Step 5: Solve for x
    x = 18,577,144,804/64,261
  6. Step 6: Final answer
    x = 289,088.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.