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Finding the Third Proportional to 59,064 and 91,209

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Solution

The third proportional to 59,064 and 91,209 is: 140,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,064 : 91,209 = 91,209 : x
  2. Step 2: Convert to fraction form
    59,064/91,209 = 91,209/x
  3. Step 3: Cross multiply
    59,064x = 91,209 × 91,209
  4. Step 4: Simplify right side
    59,064x = 8,319,081,681
  5. Step 5: Solve for x
    x = 8,319,081,681/59,064
  6. Step 6: Final answer
    x = 140,848.60

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Why These Related Problems?

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