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Finding the Third Proportional to 42,335 and 93,309.13

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Solution

The third proportional to 42,335 and 93,309.13 is: 205,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,335 : 93,309.13 = 93,309.13 : x
  2. Step 2: Convert to fraction form
    42,335/93,309.13 = 93,309.13/x
  3. Step 3: Cross multiply
    42,335x = 93,309.13 × 93,309.13
  4. Step 4: Simplify right side
    42,335x = 8,706,592,808.27
  5. Step 5: Solve for x
    x = 8,706,592,808.27/42,335
  6. Step 6: Final answer
    x = 205,659.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.