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Finding the Third Proportional to 106,184 and 232,060

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Solution

The third proportional to 106,184 and 232,060 is: 507,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,184 : 232,060 = 232,060 : x
  2. Step 2: Convert to fraction form
    106,184/232,060 = 232,060/x
  3. Step 3: Cross multiply
    106,184x = 232,060 × 232,060
  4. Step 4: Simplify right side
    106,184x = 53,851,843,600
  5. Step 5: Solve for x
    x = 53,851,843,600/106,184
  6. Step 6: Final answer
    x = 507,155.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.