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Finding the Third Proportional to 97,024 and 154,284

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Solution

The third proportional to 97,024 and 154,284 is: 245,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,024 : 154,284 = 154,284 : x
  2. Step 2: Convert to fraction form
    97,024/154,284 = 154,284/x
  3. Step 3: Cross multiply
    97,024x = 154,284 × 154,284
  4. Step 4: Simplify right side
    97,024x = 23,803,552,656
  5. Step 5: Solve for x
    x = 23,803,552,656/97,024
  6. Step 6: Final answer
    x = 245,336.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.