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Finding the Third Proportional to 45,102 and 97,430

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Solution

The third proportional to 45,102 and 97,430 is: 210,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102 : 97,430 = 97,430 : x
  2. Step 2: Convert to fraction form
    45,102/97,430 = 97,430/x
  3. Step 3: Cross multiply
    45,102x = 97,430 × 97,430
  4. Step 4: Simplify right side
    45,102x = 9,492,604,900
  5. Step 5: Solve for x
    x = 9,492,604,900/45,102
  6. Step 6: Final answer
    x = 210,469.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.