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Finding the Third Proportional to 46,461 and 70,126.50

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Solution

The third proportional to 46,461 and 70,126.50 is: 105,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,461 : 70,126.50 = 70,126.50 : x
  2. Step 2: Convert to fraction form
    46,461/70,126.50 = 70,126.50/x
  3. Step 3: Cross multiply
    46,461x = 70,126.50 × 70,126.50
  4. Step 4: Simplify right side
    46,461x = 4,917,726,002.25
  5. Step 5: Solve for x
    x = 4,917,726,002.25/46,461
  6. Step 6: Final answer
    x = 105,846.32

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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.