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Finding the Third Proportional to 72,656 and 156,786

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Solution

The third proportional to 72,656 and 156,786 is: 338,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,656 : 156,786 = 156,786 : x
  2. Step 2: Convert to fraction form
    72,656/156,786 = 156,786/x
  3. Step 3: Cross multiply
    72,656x = 156,786 × 156,786
  4. Step 4: Simplify right side
    72,656x = 24,581,849,796
  5. Step 5: Solve for x
    x = 24,581,849,796/72,656
  6. Step 6: Final answer
    x = 338,332.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.