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Finding the Third Proportional to 46,532 and 74,114.50

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Solution

The third proportional to 46,532 and 74,114.50 is: 118,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,532 : 74,114.50 = 74,114.50 : x
  2. Step 2: Convert to fraction form
    46,532/74,114.50 = 74,114.50/x
  3. Step 3: Cross multiply
    46,532x = 74,114.50 × 74,114.50
  4. Step 4: Simplify right side
    46,532x = 5,492,959,110.25
  5. Step 5: Solve for x
    x = 5,492,959,110.25/46,532
  6. Step 6: Final answer
    x = 118,046.92

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.