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Finding the Third Proportional to 64,317 and 137,862

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Solution

The third proportional to 64,317 and 137,862 is: 295,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,317 : 137,862 = 137,862 : x
  2. Step 2: Convert to fraction form
    64,317/137,862 = 137,862/x
  3. Step 3: Cross multiply
    64,317x = 137,862 × 137,862
  4. Step 4: Simplify right side
    64,317x = 19,005,931,044
  5. Step 5: Solve for x
    x = 19,005,931,044/64,317
  6. Step 6: Final answer
    x = 295,504.00

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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.