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Finding the Third Proportional to 106,192 and 232,076

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Solution

The third proportional to 106,192 and 232,076 is: 507,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,192 : 232,076 = 232,076 : x
  2. Step 2: Convert to fraction form
    106,192/232,076 = 232,076/x
  3. Step 3: Cross multiply
    106,192x = 232,076 × 232,076
  4. Step 4: Simplify right side
    106,192x = 53,859,269,776
  5. Step 5: Solve for x
    x = 53,859,269,776/106,192
  6. Step 6: Final answer
    x = 507,187.64

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1.5x scale

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.