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Finding the Third Proportional to 59,716 and 90,346

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Solution

The third proportional to 59,716 and 90,346 is: 136,686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,716 : 90,346 = 90,346 : x
  2. Step 2: Convert to fraction form
    59,716/90,346 = 90,346/x
  3. Step 3: Cross multiply
    59,716x = 90,346 × 90,346
  4. Step 4: Simplify right side
    59,716x = 8,162,399,716
  5. Step 5: Solve for x
    x = 8,162,399,716/59,716
  6. Step 6: Final answer
    x = 136,686.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.