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Finding the Third Proportional to 45,292 and 98,358

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Solution

The third proportional to 45,292 and 98,358 is: 213,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292 : 98,358 = 98,358 : x
  2. Step 2: Convert to fraction form
    45,292/98,358 = 98,358/x
  3. Step 3: Cross multiply
    45,292x = 98,358 × 98,358
  4. Step 4: Simplify right side
    45,292x = 9,674,296,164
  5. Step 5: Solve for x
    x = 9,674,296,164/45,292
  6. Step 6: Final answer
    x = 213,598.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.