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Finding the Third Proportional to 136,041.75 and 316,216.13

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Solution

The third proportional to 136,041.75 and 316,216.13 is: 735,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,041.75 : 316,216.13 = 316,216.13 : x
  2. Step 2: Convert to fraction form
    136,041.75/316,216.13 = 316,216.13/x
  3. Step 3: Cross multiply
    136,041.75x = 316,216.13 × 316,216.13
  4. Step 4: Simplify right side
    136,041.75x = 99,992,637,710.02
  5. Step 5: Solve for x
    x = 99,992,637,710.02/136,041.75
  6. Step 6: Final answer
    x = 735,014.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.