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Finding the Third Proportional to 45,460 and 97,237

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Solution

The third proportional to 45,460 and 97,237 is: 207,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,460 : 97,237 = 97,237 : x
  2. Step 2: Convert to fraction form
    45,460/97,237 = 97,237/x
  3. Step 3: Cross multiply
    45,460x = 97,237 × 97,237
  4. Step 4: Simplify right side
    45,460x = 9,455,034,169
  5. Step 5: Solve for x
    x = 9,455,034,169/45,460
  6. Step 6: Final answer
    x = 207,985.79

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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.