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Finding the Third Proportional to 72,023 and 157,046

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Solution

The third proportional to 72,023 and 157,046 is: 342,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,023 : 157,046 = 157,046 : x
  2. Step 2: Convert to fraction form
    72,023/157,046 = 157,046/x
  3. Step 3: Cross multiply
    72,023x = 157,046 × 157,046
  4. Step 4: Simplify right side
    72,023x = 24,663,446,116
  5. Step 5: Solve for x
    x = 24,663,446,116/72,023
  6. Step 6: Final answer
    x = 342,438.47

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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.