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Finding the Third Proportional to 111,988 and 161,358

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Solution

The third proportional to 111,988 and 161,358 is: 232,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,988 : 161,358 = 161,358 : x
  2. Step 2: Convert to fraction form
    111,988/161,358 = 161,358/x
  3. Step 3: Cross multiply
    111,988x = 161,358 × 161,358
  4. Step 4: Simplify right side
    111,988x = 26,036,404,164
  5. Step 5: Solve for x
    x = 26,036,404,164/111,988
  6. Step 6: Final answer
    x = 232,492.80

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.