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Finding the Third Proportional to 93,428 and 141,114

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Solution

The third proportional to 93,428 and 141,114 is: 213,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,428 : 141,114 = 141,114 : x
  2. Step 2: Convert to fraction form
    93,428/141,114 = 141,114/x
  3. Step 3: Cross multiply
    93,428x = 141,114 × 141,114
  4. Step 4: Simplify right side
    93,428x = 19,913,160,996
  5. Step 5: Solve for x
    x = 19,913,160,996/93,428
  6. Step 6: Final answer
    x = 213,139.11

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Why These Related Problems?

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