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Finding the Third Proportional to 45,816 and 97,248

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Solution

The third proportional to 45,816 and 97,248 is: 206,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,816 : 97,248 = 97,248 : x
  2. Step 2: Convert to fraction form
    45,816/97,248 = 97,248/x
  3. Step 3: Cross multiply
    45,816x = 97,248 × 97,248
  4. Step 4: Simplify right side
    45,816x = 9,457,173,504
  5. Step 5: Solve for x
    x = 9,457,173,504/45,816
  6. Step 6: Final answer
    x = 206,416.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.