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Finding the Third Proportional to 45,490 and 98,376

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Solution

The third proportional to 45,490 and 98,376 is: 212,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,490 : 98,376 = 98,376 : x
  2. Step 2: Convert to fraction form
    45,490/98,376 = 98,376/x
  3. Step 3: Cross multiply
    45,490x = 98,376 × 98,376
  4. Step 4: Simplify right side
    45,490x = 9,677,837,376
  5. Step 5: Solve for x
    x = 9,677,837,376/45,490
  6. Step 6: Final answer
    x = 212,746.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.