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Finding the Third Proportional to 58,436 and 85,787.50

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Solution

The third proportional to 58,436 and 85,787.50 is: 125,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,436 : 85,787.50 = 85,787.50 : x
  2. Step 2: Convert to fraction form
    58,436/85,787.50 = 85,787.50/x
  3. Step 3: Cross multiply
    58,436x = 85,787.50 × 85,787.50
  4. Step 4: Simplify right side
    58,436x = 7,359,495,156.25
  5. Step 5: Solve for x
    x = 7,359,495,156.25/58,436
  6. Step 6: Final answer
    x = 125,941.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.