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Finding the Third Proportional to 45,461 and 97,239

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Solution

The third proportional to 45,461 and 97,239 is: 207,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461 : 97,239 = 97,239 : x
  2. Step 2: Convert to fraction form
    45,461/97,239 = 97,239/x
  3. Step 3: Cross multiply
    45,461x = 97,239 × 97,239
  4. Step 4: Simplify right side
    45,461x = 9,455,423,121
  5. Step 5: Solve for x
    x = 9,455,423,121/45,461
  6. Step 6: Final answer
    x = 207,989.77

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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.