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Finding the Third Proportional to 58,025 and 78,289.50

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Solution

The third proportional to 58,025 and 78,289.50 is: 105,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,025 : 78,289.50 = 78,289.50 : x
  2. Step 2: Convert to fraction form
    58,025/78,289.50 = 78,289.50/x
  3. Step 3: Cross multiply
    58,025x = 78,289.50 × 78,289.50
  4. Step 4: Simplify right side
    58,025x = 6,129,245,810.25
  5. Step 5: Solve for x
    x = 6,129,245,810.25/58,025
  6. Step 6: Final answer
    x = 105,631.12

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.