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Finding the Third Proportional to 80,430 and 118,303.50

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Solution

The third proportional to 80,430 and 118,303.50 is: 174,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,430 : 118,303.50 = 118,303.50 : x
  2. Step 2: Convert to fraction form
    80,430/118,303.50 = 118,303.50/x
  3. Step 3: Cross multiply
    80,430x = 118,303.50 × 118,303.50
  4. Step 4: Simplify right side
    80,430x = 13,995,718,112.25
  5. Step 5: Solve for x
    x = 13,995,718,112.25/80,430
  6. Step 6: Final answer
    x = 174,011.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.