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Finding the Third Proportional to 69,116.63 and 104,307.75

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Solution

The third proportional to 69,116.63 and 104,307.75 is: 157,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,116.63 : 104,307.75 = 104,307.75 : x
  2. Step 2: Convert to fraction form
    69,116.63/104,307.75 = 104,307.75/x
  3. Step 3: Cross multiply
    69,116.63x = 104,307.75 × 104,307.75
  4. Step 4: Simplify right side
    69,116.63x = 10,880,106,710.06
  5. Step 5: Solve for x
    x = 10,880,106,710.06/69,116.63
  6. Step 6: Final answer
    x = 157,416.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.