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Finding the Third Proportional to 59,202 and 92,014.50

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Solution

The third proportional to 59,202 and 92,014.50 is: 143,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,202 : 92,014.50 = 92,014.50 : x
  2. Step 2: Convert to fraction form
    59,202/92,014.50 = 92,014.50/x
  3. Step 3: Cross multiply
    59,202x = 92,014.50 × 92,014.50
  4. Step 4: Simplify right side
    59,202x = 8,466,668,210.25
  5. Step 5: Solve for x
    x = 8,466,668,210.25/59,202
  6. Step 6: Final answer
    x = 143,013.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.