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Finding the Third Proportional to 64,484 and 136,798

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Solution

The third proportional to 64,484 and 136,798 is: 290,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,484 : 136,798 = 136,798 : x
  2. Step 2: Convert to fraction form
    64,484/136,798 = 136,798/x
  3. Step 3: Cross multiply
    64,484x = 136,798 × 136,798
  4. Step 4: Simplify right side
    64,484x = 18,713,692,804
  5. Step 5: Solve for x
    x = 18,713,692,804/64,484
  6. Step 6: Final answer
    x = 290,206.76

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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.