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Finding the Third Proportional to 30,261 and 64,126.50

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Solution

The third proportional to 30,261 and 64,126.50 is: 135,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261 : 64,126.50 = 64,126.50 : x
  2. Step 2: Convert to fraction form
    30,261/64,126.50 = 64,126.50/x
  3. Step 3: Cross multiply
    30,261x = 64,126.50 × 64,126.50
  4. Step 4: Simplify right side
    30,261x = 4,112,208,002.25
  5. Step 5: Solve for x
    x = 4,112,208,002.25/30,261
  6. Step 6: Final answer
    x = 135,891.35

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