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Finding the Third Proportional to 53,445 and 84,622.50

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Solution

The third proportional to 53,445 and 84,622.50 is: 133,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,445 : 84,622.50 = 84,622.50 : x
  2. Step 2: Convert to fraction form
    53,445/84,622.50 = 84,622.50/x
  3. Step 3: Cross multiply
    53,445x = 84,622.50 × 84,622.50
  4. Step 4: Simplify right side
    53,445x = 7,160,967,506.25
  5. Step 5: Solve for x
    x = 7,160,967,506.25/53,445
  6. Step 6: Final answer
    x = 133,987.60

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.