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Finding the Third Proportional to 115,880.63 and 148,579.31

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Solution

The third proportional to 115,880.63 and 148,579.31 is: 190,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,880.63 : 148,579.31 = 148,579.31 : x
  2. Step 2: Convert to fraction form
    115,880.63/148,579.31 = 148,579.31/x
  3. Step 3: Cross multiply
    115,880.63x = 148,579.31 × 148,579.31
  4. Step 4: Simplify right side
    115,880.63x = 22,075,812,102.97
  5. Step 5: Solve for x
    x = 22,075,812,102.97/115,880.63
  6. Step 6: Final answer
    x = 190,504.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.