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Finding the Third Proportional to 35,297 and 77,506

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Solution

The third proportional to 35,297 and 77,506 is: 170,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,297 : 77,506 = 77,506 : x
  2. Step 2: Convert to fraction form
    35,297/77,506 = 77,506/x
  3. Step 3: Cross multiply
    35,297x = 77,506 × 77,506
  4. Step 4: Simplify right side
    35,297x = 6,007,180,036
  5. Step 5: Solve for x
    x = 6,007,180,036/35,297
  6. Step 6: Final answer
    x = 170,189.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.