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Finding the Third Proportional to 91,506 and 146,106

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Solution

The third proportional to 91,506 and 146,106 is: 233,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,506 : 146,106 = 146,106 : x
  2. Step 2: Convert to fraction form
    91,506/146,106 = 146,106/x
  3. Step 3: Cross multiply
    91,506x = 146,106 × 146,106
  4. Step 4: Simplify right side
    91,506x = 21,346,963,236
  5. Step 5: Solve for x
    x = 21,346,963,236/91,506
  6. Step 6: Final answer
    x = 233,284.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.