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Finding the Third Proportional to 59,697 and 130,865.63

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Solution

The third proportional to 59,697 and 130,865.63 is: 286,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,697 : 130,865.63 = 130,865.63 : x
  2. Step 2: Convert to fraction form
    59,697/130,865.63 = 130,865.63/x
  3. Step 3: Cross multiply
    59,697x = 130,865.63 × 130,865.63
  4. Step 4: Simplify right side
    59,697x = 17,125,811,806.64
  5. Step 5: Solve for x
    x = 17,125,811,806.64/59,697
  6. Step 6: Final answer
    x = 286,878.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.