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Finding the Third Proportional to 59,740 and 88,248

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Solution

The third proportional to 59,740 and 88,248 is: 130,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,740 : 88,248 = 88,248 : x
  2. Step 2: Convert to fraction form
    59,740/88,248 = 88,248/x
  3. Step 3: Cross multiply
    59,740x = 88,248 × 88,248
  4. Step 4: Simplify right side
    59,740x = 7,787,709,504
  5. Step 5: Solve for x
    x = 7,787,709,504/59,740
  6. Step 6: Final answer
    x = 130,360.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.