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Finding the Third Proportional to 59,205 and 90,022.50

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Solution

The third proportional to 59,205 and 90,022.50 is: 136,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,205 : 90,022.50 = 90,022.50 : x
  2. Step 2: Convert to fraction form
    59,205/90,022.50 = 90,022.50/x
  3. Step 3: Cross multiply
    59,205x = 90,022.50 × 90,022.50
  4. Step 4: Simplify right side
    59,205x = 8,104,050,506.25
  5. Step 5: Solve for x
    x = 8,104,050,506.25/59,205
  6. Step 6: Final answer
    x = 136,881.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.