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Finding the Third Proportional to 61,623 and 95,152.50

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Solution

The third proportional to 61,623 and 95,152.50 is: 146,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,623 : 95,152.50 = 95,152.50 : x
  2. Step 2: Convert to fraction form
    61,623/95,152.50 = 95,152.50/x
  3. Step 3: Cross multiply
    61,623x = 95,152.50 × 95,152.50
  4. Step 4: Simplify right side
    61,623x = 9,053,998,256.25
  5. Step 5: Solve for x
    x = 9,053,998,256.25/61,623
  6. Step 6: Final answer
    x = 146,925.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.