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Finding the Third Proportional to 122,020 and 179,070

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Solution

The third proportional to 122,020 and 179,070 is: 262,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,020 : 179,070 = 179,070 : x
  2. Step 2: Convert to fraction form
    122,020/179,070 = 179,070/x
  3. Step 3: Cross multiply
    122,020x = 179,070 × 179,070
  4. Step 4: Simplify right side
    122,020x = 32,066,064,900
  5. Step 5: Solve for x
    x = 32,066,064,900/122,020
  6. Step 6: Final answer
    x = 262,793.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.