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Finding the Third Proportional to 72,254 and 157,576

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Solution

The third proportional to 72,254 and 157,576 is: 343,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,254 : 157,576 = 157,576 : x
  2. Step 2: Convert to fraction form
    72,254/157,576 = 157,576/x
  3. Step 3: Cross multiply
    72,254x = 157,576 × 157,576
  4. Step 4: Simplify right side
    72,254x = 24,830,195,776
  5. Step 5: Solve for x
    x = 24,830,195,776/72,254
  6. Step 6: Final answer
    x = 343,651.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.