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Finding the Third Proportional to 91,341 and 140,477.63

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Solution

The third proportional to 91,341 and 140,477.63 is: 216,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,341 : 140,477.63 = 140,477.63 : x
  2. Step 2: Convert to fraction form
    91,341/140,477.63 = 140,477.63/x
  3. Step 3: Cross multiply
    91,341x = 140,477.63 × 140,477.63
  4. Step 4: Simplify right side
    91,341x = 19,733,963,125.64
  5. Step 5: Solve for x
    x = 19,733,963,125.64/91,341
  6. Step 6: Final answer
    x = 216,047.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.