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Finding the Third Proportional to 74,023 and 162,807

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Solution

The third proportional to 74,023 and 162,807 is: 358,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,023 : 162,807 = 162,807 : x
  2. Step 2: Convert to fraction form
    74,023/162,807 = 162,807/x
  3. Step 3: Cross multiply
    74,023x = 162,807 × 162,807
  4. Step 4: Simplify right side
    74,023x = 26,506,119,249
  5. Step 5: Solve for x
    x = 26,506,119,249/74,023
  6. Step 6: Final answer
    x = 358,079.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.