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Finding the Third Proportional to 64,458 and 139,986

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Solution

The third proportional to 64,458 and 139,986 is: 304,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,458 : 139,986 = 139,986 : x
  2. Step 2: Convert to fraction form
    64,458/139,986 = 139,986/x
  3. Step 3: Cross multiply
    64,458x = 139,986 × 139,986
  4. Step 4: Simplify right side
    64,458x = 19,596,080,196
  5. Step 5: Solve for x
    x = 19,596,080,196/64,458
  6. Step 6: Final answer
    x = 304,013.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.