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Finding the Third Proportional to 46,119 and 70,501.50

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Solution

The third proportional to 46,119 and 70,501.50 is: 107,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,119 : 70,501.50 = 70,501.50 : x
  2. Step 2: Convert to fraction form
    46,119/70,501.50 = 70,501.50/x
  3. Step 3: Cross multiply
    46,119x = 70,501.50 × 70,501.50
  4. Step 4: Simplify right side
    46,119x = 4,970,461,502.25
  5. Step 5: Solve for x
    x = 4,970,461,502.25/46,119
  6. Step 6: Final answer
    x = 107,774.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.