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Finding the Third Proportional to 114,314.63 and 163,064.81

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Solution

The third proportional to 114,314.63 and 163,064.81 is: 232,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,314.63 : 163,064.81 = 163,064.81 : x
  2. Step 2: Convert to fraction form
    114,314.63/163,064.81 = 163,064.81/x
  3. Step 3: Cross multiply
    114,314.63x = 163,064.81 × 163,064.81
  4. Step 4: Simplify right side
    114,314.63x = 26,590,133,075.66
  5. Step 5: Solve for x
    x = 26,590,133,075.66/114,314.63
  6. Step 6: Final answer
    x = 232,604.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.