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Finding the Third Proportional to 64,312 and 137,853

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Solution

The third proportional to 64,312 and 137,853 is: 295,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,312 : 137,853 = 137,853 : x
  2. Step 2: Convert to fraction form
    64,312/137,853 = 137,853/x
  3. Step 3: Cross multiply
    64,312x = 137,853 × 137,853
  4. Step 4: Simplify right side
    64,312x = 19,003,449,609
  5. Step 5: Solve for x
    x = 19,003,449,609/64,312
  6. Step 6: Final answer
    x = 295,488.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.