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Finding the Third Proportional to 113,070 and 166,465.50

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Solution

The third proportional to 113,070 and 166,465.50 is: 245,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,070 : 166,465.50 = 166,465.50 : x
  2. Step 2: Convert to fraction form
    113,070/166,465.50 = 166,465.50/x
  3. Step 3: Cross multiply
    113,070x = 166,465.50 × 166,465.50
  4. Step 4: Simplify right side
    113,070x = 27,710,762,690.25
  5. Step 5: Solve for x
    x = 27,710,762,690.25/113,070
  6. Step 6: Final answer
    x = 245,076.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.