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Finding the Third Proportional to 112,402 and 169,345.50

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Solution

The third proportional to 112,402 and 169,345.50 is: 255,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,402 : 169,345.50 = 169,345.50 : x
  2. Step 2: Convert to fraction form
    112,402/169,345.50 = 169,345.50/x
  3. Step 3: Cross multiply
    112,402x = 169,345.50 × 169,345.50
  4. Step 4: Simplify right side
    112,402x = 28,677,898,370.25
  5. Step 5: Solve for x
    x = 28,677,898,370.25/112,402
  6. Step 6: Final answer
    x = 255,136.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.