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Finding the Third Proportional to 73,085.63 and 157,828.50

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Solution

The third proportional to 73,085.63 and 157,828.50 is: 340,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,085.63 : 157,828.50 = 157,828.50 : x
  2. Step 2: Convert to fraction form
    73,085.63/157,828.50 = 157,828.50/x
  3. Step 3: Cross multiply
    73,085.63x = 157,828.50 × 157,828.50
  4. Step 4: Simplify right side
    73,085.63x = 24,909,835,412.25
  5. Step 5: Solve for x
    x = 24,909,835,412.25/73,085.63
  6. Step 6: Final answer
    x = 340,830.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.