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Finding the Third Proportional to 64,618 and 141,237

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Solution

The third proportional to 64,618 and 141,237 is: 308,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,618 : 141,237 = 141,237 : x
  2. Step 2: Convert to fraction form
    64,618/141,237 = 141,237/x
  3. Step 3: Cross multiply
    64,618x = 141,237 × 141,237
  4. Step 4: Simplify right side
    64,618x = 19,947,890,169
  5. Step 5: Solve for x
    x = 19,947,890,169/64,618
  6. Step 6: Final answer
    x = 308,704.85

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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.