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Finding the Third Proportional to 59,303 and 91,574

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Solution

The third proportional to 59,303 and 91,574 is: 141,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,303 : 91,574 = 91,574 : x
  2. Step 2: Convert to fraction form
    59,303/91,574 = 91,574/x
  3. Step 3: Cross multiply
    59,303x = 91,574 × 91,574
  4. Step 4: Simplify right side
    59,303x = 8,385,797,476
  5. Step 5: Solve for x
    x = 8,385,797,476/59,303
  6. Step 6: Final answer
    x = 141,405.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.