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Finding the Third Proportional to 35,258 and 77,284

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Solution

The third proportional to 35,258 and 77,284 is: 169,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,258 : 77,284 = 77,284 : x
  2. Step 2: Convert to fraction form
    35,258/77,284 = 77,284/x
  3. Step 3: Cross multiply
    35,258x = 77,284 × 77,284
  4. Step 4: Simplify right side
    35,258x = 5,972,816,656
  5. Step 5: Solve for x
    x = 5,972,816,656/35,258
  6. Step 6: Final answer
    x = 169,403.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.