Finding the Third Proportional to 102,340.13 and 157,884.19
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Solution
The third proportional to 102,340.13 and 157,884.19 is: 243,574.23
Step by Step Solution
- Step 1: Write the proportion equation
102,340.13 : 157,884.19 = 157,884.19 : x - Step 2: Convert to fraction form
102,340.13/157,884.19 = 157,884.19/x - Step 3: Cross multiply
102,340.13x = 157,884.19 × 157,884.19 - Step 4: Simplify right side
102,340.13x = 24,927,416,662.54 - Step 5: Solve for x
x = 24,927,416,662.54/102,340.13 - Step 6: Final answer
x = 243,574.23
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.