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Finding the Third Proportional to 45,830 and 97,715

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Solution

The third proportional to 45,830 and 97,715 is: 208,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,830 : 97,715 = 97,715 : x
  2. Step 2: Convert to fraction form
    45,830/97,715 = 97,715/x
  3. Step 3: Cross multiply
    45,830x = 97,715 × 97,715
  4. Step 4: Simplify right side
    45,830x = 9,548,221,225
  5. Step 5: Solve for x
    x = 9,548,221,225/45,830
  6. Step 6: Final answer
    x = 208,339.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.