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Finding the Third Proportional to 74,053 and 160,411.50

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Solution

The third proportional to 74,053 and 160,411.50 is: 347,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,053 : 160,411.50 = 160,411.50 : x
  2. Step 2: Convert to fraction form
    74,053/160,411.50 = 160,411.50/x
  3. Step 3: Cross multiply
    74,053x = 160,411.50 × 160,411.50
  4. Step 4: Simplify right side
    74,053x = 25,731,849,332.25
  5. Step 5: Solve for x
    x = 25,731,849,332.25/74,053
  6. Step 6: Final answer
    x = 347,478.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.