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Finding the Third Proportional to 84,622.50 and 130,603.50

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Solution

The third proportional to 84,622.50 and 130,603.50 is: 201,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,622.50 : 130,603.50 = 130,603.50 : x
  2. Step 2: Convert to fraction form
    84,622.50/130,603.50 = 130,603.50/x
  3. Step 3: Cross multiply
    84,622.50x = 130,603.50 × 130,603.50
  4. Step 4: Simplify right side
    84,622.50x = 17,057,274,212.25
  5. Step 5: Solve for x
    x = 17,057,274,212.25/84,622.50
  6. Step 6: Final answer
    x = 201,569.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.