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Finding the Third Proportional to 40,261 and 88,490

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Solution

The third proportional to 40,261 and 88,490 is: 194,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,261 : 88,490 = 88,490 : x
  2. Step 2: Convert to fraction form
    40,261/88,490 = 88,490/x
  3. Step 3: Cross multiply
    40,261x = 88,490 × 88,490
  4. Step 4: Simplify right side
    40,261x = 7,830,480,100
  5. Step 5: Solve for x
    x = 7,830,480,100/40,261
  6. Step 6: Final answer
    x = 194,492.94

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