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Finding the Third Proportional to 34,020 and 72,158

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Solution

The third proportional to 34,020 and 72,158 is: 153,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020 : 72,158 = 72,158 : x
  2. Step 2: Convert to fraction form
    34,020/72,158 = 72,158/x
  3. Step 3: Cross multiply
    34,020x = 72,158 × 72,158
  4. Step 4: Simplify right side
    34,020x = 5,206,776,964
  5. Step 5: Solve for x
    x = 5,206,776,964/34,020
  6. Step 6: Final answer
    x = 153,050.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.