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Finding the Third Proportional to 51,537 and 73,501.50

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Solution

The third proportional to 51,537 and 73,501.50 is: 104,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,537 : 73,501.50 = 73,501.50 : x
  2. Step 2: Convert to fraction form
    51,537/73,501.50 = 73,501.50/x
  3. Step 3: Cross multiply
    51,537x = 73,501.50 × 73,501.50
  4. Step 4: Simplify right side
    51,537x = 5,402,470,502.25
  5. Step 5: Solve for x
    x = 5,402,470,502.25/51,537
  6. Step 6: Final answer
    x = 104,827.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.