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Finding the Third Proportional to 73,106 and 116,313

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Solution

The third proportional to 73,106 and 116,313 is: 185,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106 : 116,313 = 116,313 : x
  2. Step 2: Convert to fraction form
    73,106/116,313 = 116,313/x
  3. Step 3: Cross multiply
    73,106x = 116,313 × 116,313
  4. Step 4: Simplify right side
    73,106x = 13,528,713,969
  5. Step 5: Solve for x
    x = 13,528,713,969/73,106
  6. Step 6: Final answer
    x = 185,056.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.