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Finding the Third Proportional to 45,158 and 97,300

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Solution

The third proportional to 45,158 and 97,300 is: 209,648.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 97,300 = 97,300 : x
  2. Step 2: Convert to fraction form
    45,158/97,300 = 97,300/x
  3. Step 3: Cross multiply
    45,158x = 97,300 × 97,300
  4. Step 4: Simplify right side
    45,158x = 9,467,290,000
  5. Step 5: Solve for x
    x = 9,467,290,000/45,158
  6. Step 6: Final answer
    x = 209,648.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.