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Finding the Third Proportional to 45,321 and 97,203

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Solution

The third proportional to 45,321 and 97,203 is: 208,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,321 : 97,203 = 97,203 : x
  2. Step 2: Convert to fraction form
    45,321/97,203 = 97,203/x
  3. Step 3: Cross multiply
    45,321x = 97,203 × 97,203
  4. Step 4: Simplify right side
    45,321x = 9,448,423,209
  5. Step 5: Solve for x
    x = 9,448,423,209/45,321
  6. Step 6: Final answer
    x = 208,477.82

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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.