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Finding the Third Proportional to 59,076 and 89,706.19

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Solution

The third proportional to 59,076 and 89,706.19 is: 136,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,076 : 89,706.19 = 89,706.19 : x
  2. Step 2: Convert to fraction form
    59,076/89,706.19 = 89,706.19/x
  3. Step 3: Cross multiply
    59,076x = 89,706.19 × 89,706.19
  4. Step 4: Simplify right side
    59,076x = 8,047,200,075.79
  5. Step 5: Solve for x
    x = 8,047,200,075.79/59,076
  6. Step 6: Final answer
    x = 136,217.75

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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.