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Finding the Third Proportional to 58,959.75 and 93,405.75

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Solution

The third proportional to 58,959.75 and 93,405.75 is: 147,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,959.75 : 93,405.75 = 93,405.75 : x
  2. Step 2: Convert to fraction form
    58,959.75/93,405.75 = 93,405.75/x
  3. Step 3: Cross multiply
    58,959.75x = 93,405.75 × 93,405.75
  4. Step 4: Simplify right side
    58,959.75x = 8,724,634,133.06
  5. Step 5: Solve for x
    x = 8,724,634,133.06/58,959.75
  6. Step 6: Final answer
    x = 147,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.