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Finding the Third Proportional to 46,459 and 70,123.50

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Solution

The third proportional to 46,459 and 70,123.50 is: 105,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459 : 70,123.50 = 70,123.50 : x
  2. Step 2: Convert to fraction form
    46,459/70,123.50 = 70,123.50/x
  3. Step 3: Cross multiply
    46,459x = 70,123.50 × 70,123.50
  4. Step 4: Simplify right side
    46,459x = 4,917,305,252.25
  5. Step 5: Solve for x
    x = 4,917,305,252.25/46,459
  6. Step 6: Final answer
    x = 105,841.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.