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Finding the Third Proportional to 69,498 and 152,528.06

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Solution

The third proportional to 69,498 and 152,528.06 is: 334,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,498 : 152,528.06 = 152,528.06 : x
  2. Step 2: Convert to fraction form
    69,498/152,528.06 = 152,528.06/x
  3. Step 3: Cross multiply
    69,498x = 152,528.06 × 152,528.06
  4. Step 4: Simplify right side
    69,498x = 23,264,809,850.00
  5. Step 5: Solve for x
    x = 23,264,809,850.00/69,498
  6. Step 6: Final answer
    x = 334,755.10

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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.