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Finding the Third Proportional to 40,276 and 93,280

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Solution

The third proportional to 40,276 and 93,280 is: 216,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,276 : 93,280 = 93,280 : x
  2. Step 2: Convert to fraction form
    40,276/93,280 = 93,280/x
  3. Step 3: Cross multiply
    40,276x = 93,280 × 93,280
  4. Step 4: Simplify right side
    40,276x = 8,701,158,400
  5. Step 5: Solve for x
    x = 8,701,158,400/40,276
  6. Step 6: Final answer
    x = 216,038.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.