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Finding the Third Proportional to 45,460 and 97,240

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Solution

The third proportional to 45,460 and 97,240 is: 207,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,460 : 97,240 = 97,240 : x
  2. Step 2: Convert to fraction form
    45,460/97,240 = 97,240/x
  3. Step 3: Cross multiply
    45,460x = 97,240 × 97,240
  4. Step 4: Simplify right side
    45,460x = 9,455,617,600
  5. Step 5: Solve for x
    x = 9,455,617,600/45,460
  6. Step 6: Final answer
    x = 207,998.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.