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Finding the Third Proportional to 94,988 and 141,018

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Solution

The third proportional to 94,988 and 141,018 is: 209,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,988 : 141,018 = 141,018 : x
  2. Step 2: Convert to fraction form
    94,988/141,018 = 141,018/x
  3. Step 3: Cross multiply
    94,988x = 141,018 × 141,018
  4. Step 4: Simplify right side
    94,988x = 19,886,076,324
  5. Step 5: Solve for x
    x = 19,886,076,324/94,988
  6. Step 6: Final answer
    x = 209,353.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.