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Finding the Third Proportional to 59,259 and 97,877

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Solution

The third proportional to 59,259 and 97,877 is: 161,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,259 : 97,877 = 97,877 : x
  2. Step 2: Convert to fraction form
    59,259/97,877 = 97,877/x
  3. Step 3: Cross multiply
    59,259x = 97,877 × 97,877
  4. Step 4: Simplify right side
    59,259x = 9,579,907,129
  5. Step 5: Solve for x
    x = 9,579,907,129/59,259
  6. Step 6: Final answer
    x = 161,661.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.